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1.4 Sketching Intersections

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1 1.4 Sketching Intersections
Goal: Sketch simple figures and their intersections.

2 Activity Where do AB and CD meet? Where do AB and EF meet?
When the cards are together, where to CD and EF meet? Where to planes M and N meet? Are CD and EF coplanar? Explain.

3 Activity Where do EF and UV meet? Where do planes M and P meet?
Do planes N and P meet?

4 Key Words Intersect Intersection
Figures intersect if they have any points in common. Intersection The point or points that the figures have in common.

5 Intersection of Two Lines
Postulate 3 Intersection of Two Lines If two lines intersect, then their intersection is a point.

6 Intersection of Two Planes
Postulate 4 Intersection of Two Planes If two planes intersect, then their intersection is a line.

7 Name Intersections of Lines
Use the diagram to do the following: Name the intersection of PS and QR. Name the intersection of TV and QU. Name the intersection of PS and UV. Point R Point U They do not intersect

8 Name Intersections of Planes
Use the diagram to do the following: Name the intersection of planes X and Y. Name the intersection of planes Y and Z. Name the intersection of planes Z and X. Line p Line q They do not intersect

9 Sketch Intersections of Lines and Planes
Sketch a plane. Then sketch the following: A line that is the plane A line that does not intersect the plane A line that intersects the plane at a point

10 Sketch Intersections of Planes
Sketch two planes that intersect at a line.

11 Homework 1.4 pgs 10-32 ALL


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